论文标题
重量重量的方程式的全球最大规律性
Global Maximal Regularity for Equations with Degenerate Weights
论文作者
论文摘要
在本文中，我们关注的是，重量重量的椭圆方程的全球最大规律性估计。我们考虑线性案例和非线性情况。我们表明，可以通过对域边界上的重量和局部小的Lipschitz条件施加局部小振荡条件来获得较高的梯度。在线性和非线性情况下，我们的结果是新的。我们以示例表明，即使在线性或未加权情况下，较高的集成性和小参数的指数之间的关系也很敏锐。
In this paper we are concerned with global maximal regularity estimates for elliptic equations with degenerate weights. We consider both the linear case and the non-linear case. We show that higher integrability of the gradients can be obtained by imposing a local small oscillation condition on the weight and a local small Lipschitz condition on the boundary of the domain. Our results are new in the linear and non-linear case. We show by example that the relation between the exponent of higher integrability and the smallness parameters is sharp even in the linear or the unweighted case.
